查询词典 nonlinearity

Our difficulties are overcome in this paper by using the method of generalized normal sectors, provided by [Nonlinearity 17(2004): 1407-1426], which allows curves and orbits to be part of its boundary, may not be an angular neighborhood of the characteristic direction.

通过利用文献[Nonlinearity 17(2004)，1407-1426]中提出的广义正常区域方法，我们的困难得以克服，其中允许曲线或者系统轨道为广义正常区域的边界，而且该区域也不一定是要研究的特殊方向的角形邻域。

In the fourth chapter, firstly it introduces the Boolean functions algebraic expressions of the 2-value clock-controlled stop-and-go generator and Gunther generator. It reveals the balanced property of the two kinds of Boolean functions, and studies the Walsh cycle spectrum and the autocorrelation function. It also obtains the coincidence rate of their output sequences with affine sum of some bits of input sequences, and analyzes their ability of resisting the best affine approximation cryptanalysis and differential cryptanalysis. Secondly, we properly present a new definition of the Best Affine Approximation, namely BAA on the Boolean vector functions, followed by the spectral characteristic of such defined BAA attacks through using the decomposition formula of the union distribution for random variables. A lower bound of such BAA attacks is proposed. Finally, we also study the spectral characteristic of the second kind of nonlinearity of Boolean vector functions, followed by a higher bound of such nonlinearity. Furthermore, the limited relationship between the second kind of nonlinearity of Boolean vector functions and the linear structure of the linear combination of every component is analyzed.

在第四章中，首先给出了2值密钥流"停走生成器"和"衮特生成器"中实际存在的布尔函数的代数表示，揭示了这两类布尔函数的平衡性，随后研究了它们的Walsh循环谱和自相关函数等，得到了它们的输出序列与输入序列中的某些bit的仿射项的符合率，分析了它们抵抗最佳仿射逼近攻击和差分攻击的能力；其次，我们合理地给出了布尔向量函数最佳仿射逼近的新定义，利用布尔随机变量联合分布的分解式考察了相应的谱特征，并给出了布尔向量函数与其最佳仿射逼近的符合率的一个下界；最后，我们还考察了布尔向量函数第二类非线性度的谱特征，给出了布尔向量函数第二类非线性度的一个上界，并揭示了布尔向量函数第二类非线性度与其各个分量的线性和的线性结构之间存在的制约关系。

In this paper,by using the idea of F-expansion method (where F is a known solution of an ordinary differential equation with fourth positive power nonlinearity),the problem of seeking the exact solutions of the generalized BBM equation with any positive power nonlinearity is changed into seeking the exact solutions of an ordinary differential equation with fourth positive power nonlinearity.

利用F-展开法的思想(F是一阶四次常微分方程的一个解)，将求含有任意次正幂项非线性广义BBM方程的精确解转化为求一阶四次常微分方程的精确解。

Thermal stress calculation in ice cover is a nonlinear problem, this includes edgeconditions nonlinearity, ice specific heat and conductivity nonlinearity, and ice elasticmodulus and linear thermal expansivity nonlinearity.

冰层温度应力问题是非线性问题，包括边界非线性、冰的比热C和导热系数K的非线性、冰弹性模量和热膨胀系数的非线性等。

The seal of car door is a complicated object, which has many special performances such as material nonlinearity, geometric nonlinearity and nonlinearity of boundary condition.

轿车车门密封条是一种复杂的材料非线性、几何非线性、边界非线性的特殊对象。

When the nonlinear layer which has weak nonlinearity is thin and far away from the seismic source which be low energy, compared with the corresponding results in linear antis, the medium nonlinearity produces abort 1/10~1/4 and 1/10~1/3 differences of instantaneous dominant frequency aid bandwidth. These instantaneous feature differences of seismic waves induced by the nonlinearity of media become weaker and weaker with the decrease of source energy. However, with the increase of the wave travel path within the mummer layer, the nonlinear accumulation effect could still keep such phenomena as the waveform distortion and instantaneous dominant frequency and bandwidth variations in records.

在本文给定的弱非线性介质中（非线性炽较薄且远离震源），在震源能量较低的情况下，介质的非线性效应会造成地震波瞬时主频和频宽相对于线性介质情况分别为1/10~1/14和1/10~1/3左右的变化量此外，随着入射波能量的下降，介质非线性所造成的地震波瞬时特征的变化量减小，但随着地震波在穿越非线性介质时路径的加长，非线性作用的累积效应使得波形畸变和频率分布特征的变化等现象得以维持。

The emulation result shows that the error of polarizer rotation angle almost does not influence nonlinearity when elliptic polarization of laser beams exists; when the error of rotation angle of polarizing beam splitter exists, the second-harmonic nonlinearity caused by the error of polarizer rotation angle will not increase, but the first-harmonic nonlinearity will increase greatly.

仿真结果表明，当存在激光束椭圆偏振时，检偏器旋转误差对非线性误差的影响很小；当存在偏振分光镜旋转误差时，检偏器旋转误差引起的非线性误差不增加二次谐波分量，但增大了非线性误差一次谐波分量，严重影响非线性误差的大小，当偏振分光镜旋转误差为3°时，检偏器旋转误差从0°增加到5°，非线性误差从0.14 nm增大到0.97 nm。

There are two mature methods to simulate: Spherically Invariant Random Process and Zero Memory Nonlinearity.

目前有两种方法比较成熟：一种是球形不变随机过程法(Spherically Invariant Random Process， SIRP)，另一种是无记忆非线性变换(Zero Memory Nonlinearity， ZMNL)。

A basic review on dielectric nonlinearity and electric tunable mechanism was performed in view of thermodynamics, ferroelectric domain, polar nanoregion, field induced phase transition, grain boundary layer and AC dielectric nonlinearity. The dielectric nonlinearity phenomena in barium stannate titanate ceramics were studied and the field dependences of dielectric constant and loss tangent were showed.

关于低温介电弛豫行为与极性微区关系的讨论涉及到了弛豫铁电体与扩散相变铁电体之间的相容关系，作者认为所有的扩散相变铁电体都应该是弛豫铁电体或潜在的弛豫铁电体，它们的区别仅在于能够观测到介电弛豫现象的测试频率范围不同。

Especially, the nonlinearity bounds of functions with balancedness, with correlation-immunity, or with balanced correlation-immunity are discussed respectively. Using the relationship between nonlinearity and the order of correlation-immune, one upper bound of nonlinearity of correlation-immune functions is obtained.

尤其对满足平衡性、相关免疫性和同时满足平衡相关免疫性函数的非线性度的界分别进行了研究，利用非线性度和相关免疫阶之间的关系，给出相关免疫函数非线性度的一种新的上界。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。